Question

Please help me with this problem with all steps thank you!!

Answer 1

`\bf\\9√(3)`

Explanation:

`√(12) +√(27) +√(48) =√(3\cdot4) +√(3\cdot9) +√(3\cdot16)=\\\\= √(3) \cdot√(4) +√(3)\cdot√(9) +√(3)\cdot√(16) =\\\\=√(3) \cdot2+√(3) \cdot3+√(3) \cdot4=√(3) (2+3+4)=\\\\=√(3)\cdot9=9√(3)`

Answer 2

Hello! In this exercise, the first step will be to factorize all the square roots, look below:

At this moment, all numbers have terms in common, so we can add them together. Let's do it:

`\begin{gathered} 2\sqrt[]{3}+3\sqrt[]{3}+4\sqrt[]{3} \\ =\sqrt[]{3}(2+3+4) \\ =9\sqrt[]{3} \end{gathered}`